Hw. Muller, MODEL-EQUATIONS FOR 2-DIMENSIONAL QUASIPATTERNS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(2), 1994, pp. 1273-1277
Two-dimensional model equations, invariant under the symmetry operatio
ns of an infinite horizontal plane, can undergo a cellular instability
to ''quasipatterns'' of eight- or 12-fold orientational order. Two di
fferent nonlinear selection mechanisms are discussed and related to re
cent experiments.